A PREFILTER GENERATED BY A SET IN EQ-ALGEBRAS

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Mohtashamniya Neda; Torkzadeh Lida

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Seminar Paper

Paper Information

Seminar: ANNUAL IRANIAN MATHEMATICS CONFERENCE
Year:2015 | Issue:46

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Title

A PREFILTER GENERATED BY A SET IN EQ-ALGEBRAS

Author(s)

Mohtashamniya Neda | Torkzadeh Lida

Keywords

(GOOD

SEPARATED) EQ-ALGEBRA

LEQ-ALGEBRA

Abstract

IN THIS PAPER WE INTRODUCE THE NOTION OF A PREFILTER GENERATED BY A NONEMPTY SUBSET OF AN EQ-ALGEBRA E AND WE INVESTIGATE SOME PROPERTIES OF IT. AFTER THAT BY SOME THEOREMS WE CHARACTERIZE A GENERATED PREFILTER. THEN BY CONSTITUTING THE SET OF ALL PREFILTERS OF AN EQ-ALGEBRA E DENOTED BY PF (E), WE SHOW THAT IT’S AN ALGEBRIC LATTICE. FINALLY, WE PROVE THAT, THE SET OF ALL PRINCIPLE PREFILTERS OF AN &NBSP;LEQ-ALGEBRA E IS A SUBLATTICE OF PF (E).

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APA: Copy

Mohtashamniya, Neda, & Torkzadeh, Lida. (2015). A PREFILTER GENERATED BY A SET IN EQ-ALGEBRAS. ANNUAL IRANIAN MATHEMATICS CONFERENCE. SID. https://sid.ir/paper/920652/en

Vancouver: Copy

Mohtashamniya Neda, Torkzadeh Lida. A PREFILTER GENERATED BY A SET IN EQ-ALGEBRAS. 2015. Available from: https://sid.ir/paper/920652/en

IEEE: Copy

Neda Mohtashamniya, and Lida Torkzadeh, “A PREFILTER GENERATED BY A SET IN EQ-ALGEBRAS,” presented at the ANNUAL IRANIAN MATHEMATICS CONFERENCE. 2015, [Online]. Available: https://sid.ir/paper/920652/en

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